Search a number
-
+
3798761064 = 233724676917
BaseRepresentation
bin1110001001101100…
…0111111001101000
3100210202001001112020
43202123013321220
530234440323224
61424540344440
7163064636100
oct34233077150
910722031466
103798761064
11167a33545a
128a0245120
13487022517
1428072c200
15173773c79
hexe26c7e68

3798761064 has 96 divisors (see below), whose sum is σ = 11072674080. Its totient is φ = 1082879616.

The previous prime is 3798761063. The next prime is 3798761093. The reversal of 3798761064 is 4601678973.

It is a super-3 number, since 3×37987610643 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3798760998 and 3798761016.

It is not an unprimeable number, because it can be changed into a prime (3798761063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545734 + ... + 552650.

It is an arithmetic number, because the mean of its divisors is an integer number (115340355).

Almost surely, 23798761064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3798761064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536337040).

3798761064 is an abundant number, since it is smaller than the sum of its proper divisors (7273913016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3798761064 is a wasteful number, since it uses less digits than its factorization.

3798761064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 3798761064 is about 61634.0901125343. The cubic root of 3798761064 is about 1560.3211403289.

The spelling of 3798761064 in words is "three billion, seven hundred ninety-eight million, seven hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 467 588 934 1176 1401 1868 2802 3269 3736 5604 6538 6917 9807 11208 13076 13834 19614 20751 22883 26152 27668 39228 41502 45766 48419 55336 68649 78456 83004 91532 96838 137298 145257 166008 183064 193676 274596 290514 338933 387352 549192 581028 677866 1016799 1162056 1355732 2033598 2711464 3230239 4067196 6460478 8134392 9690717 12920956 19381434 22611673 25841912 38762868 45223346 67835019 77525736 90446692 135670038 158281711 180893384 271340076 316563422 474845133 542680152 633126844 949690266 1266253688 1899380532 3798761064